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Finding the Fourth Proportional to 11,551.46, 17,328.28 and 3,231.46

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Solution

The fourth proportional to 11,551.46, 17,328.28 and 3,231.46 is: 4,847.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,551.46 : 17,328.28 = 3,231.46 : x
  2. Step 2: Convert to fraction form
    11,551.46/17,328.28 = 3,231.46/x
  3. Step 3: Cross multiply
    11,551.46x = 17,328.28 × 3,231.46
  4. Step 4: Simplify right side
    11,551.46x = 55,995,643.69
  5. Step 5: Solve for x
    x = 55,995,643.69/11,551.46
  6. Step 6: Final answer
    x = 4,847.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.